Pregled bibliografske jedinice broj: 1106089
Topological entropy for set-valued functions
Topological entropy for set-valued functions // 6th Croatian Mathematical Congress
Zagreb, Hrvatska, 2016. (predavanje, međunarodna recenzija, ostalo, znanstveni)
CROSBI ID: 1106089 Za ispravke kontaktirajte CROSBI podršku putem web obrasca
Naslov
Topological entropy for set-valued functions
Autori
Erceg, Goran ; Kennedy, Judy
Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, ostalo, znanstveni
Skup
6th Croatian Mathematical Congress
Mjesto i datum
Zagreb, Hrvatska, 14.06.2016. - 17.06.2016
Vrsta sudjelovanja
Predavanje
Vrsta recenzije
Međunarodna recenzija
Ključne riječi
Generalized inverse limit ; Topological entropy ; Invariant Cantor set ; Subshift of finite type ; Mahavier product
Sažetak
We generalize the definition of topological entropy due to Adler, Konheim, and McAndrew to set-valued functions from a closed subset of the interval to closed subsets of the interval. We view these set-valued functions, via their graphs, as closed subsets of [0, 1]^2 and define topological entropy using new tool, the Mahavier product, defined by J. Kennedy and S. Greenwood. We show that many of the topological entropy properties of continuous functions of a compact topological space to itself hold in our new setting, but not all. We compute the topological entropy of various examples.
Izvorni jezik
Engleski
Znanstvena područja
Matematika
